Orthogonalized Infinite Edge Element Method -Convergence Improvement by Orthogonalization of Hilbert Matrix in Infinite Edge Element Method

摘要

This paper proposes an orthogonalization of Hilbert matrix in element matrices of the infinite edge elements. The Hilbert matrix results in extremely slow convergence in the ICCG method when we used higher order expansion. The orthogonalization improves the convergence drastically and it makes the infinite elements practical in the electromagnetic FEM analysis of the open boundary problems. A numerical example demonstrates the effectiveness of the proposed method.